Could You consider the conjecture as follows to make additional proposals for polymath project?

> Let $A, B, C$ be three positive integer numbers such that $A+B=C$ with $\gcd(A, B, C) = 1$. By Fundamental theorem of arithmetic we write:

> $A=a_1^{x_1}a_2^{x_2}...a_n^{x_n}$, 

> $B=b_1^{y_1}b_2^{y_2}...b_m^{y_m}$, 

> $C=c_1^{z_1}c_2^{z_2}...c_k^{z_k}$

> Let $d=\min\{x_i, y_j, z_h \}$ where $1 \le i \le n,  1\ \le j \le m, 1\le h \le k$ then:
 
> **My conjecture:** $$d \le 5$$ 

The conjecture in [here](https://mathoverflow.net/questions/303141/on-the-ab-c-conjecture)

PS: I researched about one hundred papers, in any case $h \le 3$?